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Results (45 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 13
4563.2.a.a 4563.a 1.a $1$ $36.436$ \(\Q\) None \(-2\) \(0\) \(2\) \(-1\) $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+2q^{4}+2q^{5}-q^{7}-4q^{10}+\cdots\)
4563.2.a.b 4563.a 1.a $1$ $36.436$ \(\Q\) None \(-2\) \(0\) \(2\) \(1\) $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}+2q^{4}+2q^{5}+q^{7}-4q^{10}+\cdots\)
4563.2.a.c 4563.a 1.a $1$ $36.436$ \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(-1\) $+$ $+$ $N(\mathrm{U}(1))$ \(q-2q^{4}-q^{7}+4q^{16}-q^{19}-5q^{25}+\cdots\)
4563.2.a.d 4563.a 1.a $1$ $36.436$ \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(1\) $+$ $+$ $N(\mathrm{U}(1))$ \(q-2q^{4}+q^{7}+4q^{16}+q^{19}-5q^{25}+\cdots\)
4563.2.a.e 4563.a 1.a $1$ $36.436$ \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(1\) $-$ $+$ $N(\mathrm{U}(1))$ \(q-2q^{4}+q^{7}+4q^{16}+7q^{19}-5q^{25}+\cdots\)
4563.2.a.f 4563.a 1.a $1$ $36.436$ \(\Q\) None \(2\) \(0\) \(-2\) \(-1\) $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}-2q^{5}-q^{7}-4q^{10}+\cdots\)
4563.2.a.g 4563.a 1.a $1$ $36.436$ \(\Q\) None \(2\) \(0\) \(-2\) \(1\) $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}-2q^{5}+q^{7}-4q^{10}+\cdots\)
4563.2.a.h 4563.a 1.a $2$ $36.436$ \(\Q(\sqrt{5}) \) None \(-1\) \(0\) \(-3\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(-1+\beta )q^{4}+(-1-\beta )q^{5}+\cdots\)
4563.2.a.i 4563.a 1.a $2$ $36.436$ \(\Q(\sqrt{13}) \) None \(-1\) \(0\) \(-5\) \(2\) $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}+(1+\beta )q^{4}+(-3+\beta )q^{5}+q^{7}+\cdots\)
4563.2.a.j 4563.a 1.a $2$ $36.436$ \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(0\) $+$ $-$ $N(\mathrm{U}(1))$ \(q-2q^{4}-\beta q^{7}+4q^{16}-\beta q^{19}-5q^{25}+\cdots\)
4563.2.a.k 4563.a 1.a $2$ $36.436$ \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(0\) $-$ $-$ $N(\mathrm{U}(1))$ \(q-2q^{4}+3\beta q^{7}+4q^{16}-5\beta q^{19}+\cdots\)
4563.2.a.l 4563.a 1.a $2$ $36.436$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{4}-2\beta q^{5}-2\beta q^{7}-\beta q^{8}+\cdots\)
4563.2.a.m 4563.a 1.a $2$ $36.436$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{4}-2\beta q^{5}+2\beta q^{7}-\beta q^{8}+\cdots\)
4563.2.a.n 4563.a 1.a $2$ $36.436$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{4}+2\beta q^{5}-\beta q^{8}+6q^{10}+\cdots\)
4563.2.a.o 4563.a 1.a $2$ $36.436$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+q^{4}+2\beta q^{5}-\beta q^{8}+6q^{10}+\cdots\)
4563.2.a.p 4563.a 1.a $2$ $36.436$ \(\Q(\sqrt{5}) \) None \(1\) \(0\) \(3\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1+\beta )q^{4}+(1+\beta )q^{5}+(1+\cdots)q^{7}+\cdots\)
4563.2.a.q 4563.a 1.a $2$ $36.436$ \(\Q(\sqrt{13}) \) None \(1\) \(0\) \(5\) \(2\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(1+\beta )q^{4}+(3-\beta )q^{5}+q^{7}+\cdots\)
4563.2.a.r 4563.a 1.a $3$ $36.436$ \(\Q(\zeta_{14})^+\) None \(-2\) \(0\) \(-1\) \(-6\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(\beta _{1}+\beta _{2})q^{4}+(1-2\beta _{1}+\cdots)q^{5}+\cdots\)
4563.2.a.s 4563.a 1.a $3$ $36.436$ \(\Q(\zeta_{14})^+\) None \(-2\) \(0\) \(-1\) \(6\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(\beta _{1}+\beta _{2})q^{4}+(1-2\beta _{1}+\cdots)q^{5}+\cdots\)
4563.2.a.t 4563.a 1.a $3$ $36.436$ \(\Q(\zeta_{14})^+\) None \(2\) \(0\) \(1\) \(-6\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
4563.2.a.u 4563.a 1.a $3$ $36.436$ \(\Q(\zeta_{14})^+\) None \(2\) \(0\) \(1\) \(6\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
4563.2.a.v 4563.a 1.a $4$ $36.436$ \(\Q(\zeta_{24})^+\) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}-\beta _{2}q^{5}+\beta _{1}q^{7}+2\beta _{2}q^{8}+\cdots\)
4563.2.a.w 4563.a 1.a $4$ $36.436$ 4.4.8112.1 None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots\)
4563.2.a.x 4563.a 1.a $4$ $36.436$ 4.4.8112.1 None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots\)
4563.2.a.y 4563.a 1.a $4$ $36.436$ 4.4.8112.1 \(\Q(\sqrt{-39}) \) \(0\) \(0\) \(0\) \(0\) $-$ $-$ $N(\mathrm{U}(1))$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}+\beta _{3}q^{8}+\cdots\)
4563.2.a.z 4563.a 1.a $4$ $36.436$ 4.4.65712.1 None \(0\) \(0\) \(0\) \(-8\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{3}q^{5}-2q^{7}+\cdots\)
4563.2.a.ba 4563.a 1.a $4$ $36.436$ 4.4.7600.1 None \(0\) \(0\) \(0\) \(0\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(3+\beta _{2})q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots\)
4563.2.a.bb 4563.a 1.a $4$ $36.436$ 4.4.8112.1 \(\Q(\sqrt{-39}) \) \(0\) \(0\) \(0\) \(0\) $+$ $-$ $N(\mathrm{U}(1))$ \(q+\beta _{1}q^{2}+(4+\beta _{3})q^{4}-\beta _{2}q^{5}+(2\beta _{1}+\cdots)q^{8}+\cdots\)
4563.2.a.bc 4563.a 1.a $5$ $36.436$ 5.5.4509957.1 None \(0\) \(0\) \(-1\) \(-3\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{2}q^{5}+(-1+\cdots)q^{7}+\cdots\)
4563.2.a.bd 4563.a 1.a $5$ $36.436$ 5.5.4509957.1 None \(0\) \(0\) \(-1\) \(3\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{2}q^{5}+(1+\beta _{4})q^{7}+\cdots\)
4563.2.a.be 4563.a 1.a $5$ $36.436$ 5.5.4509957.1 None \(0\) \(0\) \(1\) \(-3\) $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{2}q^{5}+(-1+\cdots)q^{7}+\cdots\)
4563.2.a.bf 4563.a 1.a $5$ $36.436$ 5.5.4509957.1 None \(0\) \(0\) \(1\) \(3\) $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{2}q^{5}+(1+\beta _{4})q^{7}+\cdots\)
4563.2.a.bg 4563.a 1.a $6$ $36.436$ 6.6.1997632.1 None \(0\) \(0\) \(0\) \(-2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{1}q^{5}+(2\beta _{2}+\cdots)q^{7}+\cdots\)
4563.2.a.bh 4563.a 1.a $6$ $36.436$ 6.6.1997632.1 None \(0\) \(0\) \(0\) \(2\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{1}q^{5}+(-2\beta _{2}+\cdots)q^{7}+\cdots\)
4563.2.a.bi 4563.a 1.a $6$ $36.436$ 6.6.791844864.1 None \(0\) \(0\) \(0\) \(-4\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{5}q^{5}+(-1+\cdots)q^{7}+\cdots\)
4563.2.a.bj 4563.a 1.a $6$ $36.436$ 6.6.791844864.1 None \(0\) \(0\) \(0\) \(4\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{5}q^{5}+(1-\beta _{4}+\cdots)q^{7}+\cdots\)
4563.2.a.bk 4563.a 1.a $8$ $36.436$ 8.8.\(\cdots\).1 None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{4}+\beta _{5})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
4563.2.a.bl 4563.a 1.a $8$ $36.436$ 8.8.\(\cdots\).1 None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{4}+\beta _{5})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
4563.2.a.bm 4563.a 1.a $8$ $36.436$ 8.8.\(\cdots\).6 None \(0\) \(0\) \(0\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{5}q^{2}+(2-\beta _{4})q^{4}-\beta _{5}q^{5}+\beta _{2}q^{7}+\cdots\)
4563.2.a.bn 4563.a 1.a $12$ $36.436$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-7\) \(0\) \(-13\) \(-1\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(1-\beta _{1}+\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
4563.2.a.bo 4563.a 1.a $12$ $36.436$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-7\) \(0\) \(-13\) \(1\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(1-\beta _{1}+\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
4563.2.a.bp 4563.a 1.a $12$ $36.436$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(0\) \(0\) \(-14\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}+\beta _{11})q^{5}+\cdots\)
4563.2.a.bq 4563.a 1.a $12$ $36.436$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(0\) \(0\) \(14\) $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}+\beta _{11})q^{5}+\cdots\)
4563.2.a.br 4563.a 1.a $12$ $36.436$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(7\) \(0\) \(13\) \(-1\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{3}+\beta _{4})q^{4}+\cdots\)
4563.2.a.bs 4563.a 1.a $12$ $36.436$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(7\) \(0\) \(13\) \(1\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{3}+\beta _{4})q^{4}+\cdots\)
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